2x – 3y = 10 1-5x + 8y = –26 ([?], [ ]
1 answer:
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Answer:
1st number = 18
2nd number = -5
Step-by-step explanation:
Let x be first number and y be the 2nd number.
We have been given that first number plus twice a second number is 8. We can represent this information as:
We are also given that twice the first number plus the second totals 31. We can represent this information as:
Now let us solve our system of equations using substitution method.
From equation (1) we will get,
Substituting in equation (2) we will get,
Therefore, the second number is -5.
Now let us substitute y=-5 in equation (1).
Therefore, the first number is 18.